Positive solutions of a boundary value problem with integral boundary conditions [PDF]
, 2011 We consider boundary-value problems studied in a recent paper. We show that some existing theory developed by Webb and Infante applies to this problem and we use the known theory to show how to find improved estimates on parameters μ*, λ so ...
Webb, J.
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On multi-term fractional differential equations with multi-point boundary conditions
The European Physical Journal Special Topics, 2017 In this paper, we discuss the existence and uniqueness of solutions for a new class of multi-point boundary value problems of multi-term fractional differential equations by using standard fixed point theorems. We also demonstrate the application of the obtained results with the aid of examples.
Bashir Ahmad +3 more
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Existence results for fractional differential equations with integral and multi-point boundary conditions [PDF]
Boundary Value Problems, 2018 This paper concerns a new kind of fractional differential equation of arbitrary order by combining a multi-point boundary condition with an integral boundary condition.
Youyu Wang, Shuilian Liang, Qichao Wang
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Some Results of Positive Solutions for a Beam Equation with Multi-Point Boundary Conditions
MathematicsIn this paper, we give some results on the existence and multiplicity of positive solutions for a class of fourth-order multi-point boundary value problems with a sign-changing Green’s function.
Zhenghao Du, Huijuan Zhu, Fanglei Wang
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On a class of fractional Langevin inclusion with multi-point boundary conditions
Boletim da Sociedade Paranaense de Matemática, 2022 The aim of this paper deals with the existence results for a class of fractional langevin inclusion with multi-point boundary conditions. To prove the main results, we use the fixed theoreme for condensing multivalued maps, which is applicable to completely continuous operators.
Hamid Lmou, Khalid Hilal, Ahmed Kajounı
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Caputo Proportional Fractional Differential Equation with Multi-point Boundary Condition
Bangmod International Journal of Mathematical and Computational Science, 2022 In this article, inspired by the proportional fractional derivative, we investigate the uniqueness of the solutions for generalized Caputo proportional differential equations with multi-point boundary conditions. We convert the formulated problem into an equivalent integral equation with the support of Green's function. The results we obtain generalize
Muhammad Jamilu Ibrahim +2 more
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A class of cubic and quintic spline modified collocation methods for the solution of two-point boundary value problems [PDF]
, 1987 This paper is concerned with the study of a class of methods for solving second and fourth-order two-point boundary-value problems. The methods under consideration are modifications of the standard cubic and quintic spline collocation techniques, and ...
Soares, M J, Papamichael, N
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A pp-Laplacian problem with a multi-point boundary condition
Nonlinear Analysis, 2004 The authors prove the existence of a solution to a generalized multipoint BVP involving the Lebesgue-Stieltjes integral, for a scalar equation with a \(p\)-Laplacian-like differential operator. Their result generalizes previous existence results for second-order ODEs with nonlinearities growing at most linearly.
Garcia Huidobro, M +3 more
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Positive solutions of nonlinear fourth-order boundary-value problems with local and non-local boundary conditions [PDF]
, 2008 We establish new existence results for multiple positive solutions of fourth-order nonlinear equations which model deflections of an elastic beam. We consider the widely studied boundary conditions corresponding to clamped and hinged ends and many non ...
J. R. L. Webb +5 more
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Boundary value problems for Hadamard fractional differential equations with nonlocal multi-point boundary conditions [PDF]
Fractional Differential Calculus, 2018 Summary: This paper is devoted to the study of the existence and uniqueness of solutions to a boundary value problem for nonlinear Hadamard fractional differential equations with nonlocal multi-point boundary conditions. The results are obtained by using a variety of fixed point theorems. The paper concludes with some illustrative examples.
Benhamida, Wafaa +2 more
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